Brownian Motion on Cantor Sets
Loading...
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter Gmbh
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
In this paper, we have investigated the Langevin and Brownian equations on fractal time sets using F-alpha-calculus and shown that the mean square displacement is not varied linearly with time. We have also generalized the classical method of deriving the Fokker Planck equation in order to obtain the Fokker-Planck equation on fractal time sets.
Description
Ashrafi, Saleh/0000-0003-2426-3051
ORCID
Keywords
F-Alpha-Calculus, Fokker-Planck Equation, Brownian Equation, Langevin Equation, Langevin equation, Fractals, Brownian equation, Fokker-Planck equation, \(F^\alpha \)-calculus, Diffusion processes, F-alpha-calculus
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
2
Source
International Journal of Nonlinear Sciences and Numerical Simulation
Volume
21
Issue
3-4
Start Page
275
End Page
281
PlumX Metrics
Citations
CrossRef : 2
Scopus : 3
Captures
Mendeley Readers : 6
Google Scholar™
